Bifurcations of Emergent Bursting in a Neuronal Network

Yu Wu*, Wenlian Lu, Wei Lin, Gareth Leng, Jianfeng Feng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Complex neuronal networks are an important tool to help explain paradoxical phenomena observed in biological recordings. Here we present a general approach to mathematically tackle a complex neuronal network so that we can fully understand the underlying mechanisms. Using a previously developed network model of the milk-ejection reflex in oxytocin cells, we show how we can reduce a complex model with many variables and complex network topologies to a tractable model with two variables, while retaining all key qualitative features of the original model. The approach enables us to uncover how emergent synchronous bursting can arise from a neuronal network which embodies known biological features. Surprisingly, the bursting mechanisms are similar to those found in other systems reported in the literature, and illustrate a generic way to exhibit emergent and multiple time scale oscillations at the membrane potential level and the firing rate level.

Original languageEnglish
Article numberARTN e38402
Number of pages12
JournalPLoS ONE
Volume7
Issue number6
DOIs
Publication statusPublished - 7 Jun 2012

Keywords

  • CHAINS
  • NEURAL OSCILLATIONS
  • SYNCHRONIZATION
  • THETA RHYTHM
  • ASSEMBLIES
  • MECHANISM
  • METASTABILITY
  • SPIKING NEURONS
  • DYNAMICS
  • INHIBITION

Cite this